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SIAMSC
2008
237views more  SIAMSC 2008»
13 years 5 months ago
A Variational Shape Optimization Approach for Image Segmentation with a Mumford--Shah Functional
We introduce a novel computational method for a Mumford-Shah functional, which decomposes a given image into smooth regions separated by closed curves. Casting this as a shape opti...
Günay Dogan, Pedro Morin, Ricardo H. Nochetto

Publication
700views
15 years 1 months ago
Optimal Approximations by Piecewise Smooth Functions and Associated Variational Problems - [ Mumford-Shah ]
"The purpose of this paper is to introduce and study the most basic properties of three new variational problems which are suggested by applications to computer vision. In com...
David Mumford and Jayant Shah
CVPR
2007
IEEE
14 years 7 months ago
Mumford-Shah Meets Stereo: Integration of Weak Depth Hypotheses
Recent results on stereo indicate that an accurate segmentation is crucial for obtaining faithful depth maps. Variational methods have successfully been applied to both image segm...
Thomas Pock, Christopher Zach, Horst Bischof
IJCV
2006
262views more  IJCV 2006»
13 years 5 months ago
A Variational Model for Object Segmentation Using Boundary Information and Shape Prior Driven by the Mumford-Shah Functional
In this paper, we propose a new variational model to segment an object belonging to a given shape space using the active contour method, a geometric shape prior and the Mumford-Sha...
Xavier Bresson, Pierre Vandergheynst, Jean-Philipp...
IJCV
2002
232views more  IJCV 2002»
13 years 5 months ago
Diffusion Snakes: Introducing Statistical Shape Knowledge into the Mumford-Shah Functional
We present a modification of the Mumford-Shah functional and its cartoon limit which facilitates the incorporation of a statistical prior on the shape of the segmenting contour. By...
Daniel Cremers, Florian Tischhäuser, Joachim ...